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Find the roots of quadratic equation x^2 -3√5x +10 = 0

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Find the roots of quadratic equation x2 -3√5x +10 = 0

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We write, -3√5x = -2√5x - √5x as x2 \(\times\)10 = 10x2 = (-2√5x) \(\times\)(-√5x)

∴ x2 -3√5x +10 = 0

Hence, the roots of the given equation are √5 and 2√5

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